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What is the relationship between sine and cosine of the complementary angles?
Wiki User
∙ 11y ago
sin(x) = cos(90° - x)
cos(x) = sin(90° - x)
Wiki User
∙ 11y ago
Ashutosh Patro
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What is the relationship between the tan and cot?
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
How are sine and cosine and secant related?
Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.
What are the measure of the angles in quadrant 1?
The angles in quadrant one measure between 0 degrees and 90 degrees. In radians, that's between 0 and pi/2. Quadrant one is the quadrant where both X and Y (or cosine theta and sine theta) are positive.
What are the six trigonometric functions of special angles?
sine, cosine, tangent, cosecant, secant and cotangent.
How do you use trigonometry?
Various trigonometric functions, such as sine or cosine, show the relationship between the lengths of sides of a triangle and the angles between those sides. So trigonometry is used to calculate angles, lengths and distances using right triangles. Right triangles are those that have one angle of exactly 90 degrees. Example: You want to find the height of a tree. Measure off a fixed distance from the tree and measure the angle between the ground and the line-of-sight to the top of the tree. The height of the tree = the distance to the tree times the tangent of the angle between the tree and the ground, ie tan(x).
How do you express complementary angles into a trigonometric function?
The sine of an angle is the cosine of its complement and conversely. The tan of an angle is the reciprocal of its complement.
Why are cosines positive and negative?
Because the cosine of some angles is positive and the cosine of some other angles is negative.
Two angles measuring 90 degrees are complementary?
Yes, if the sum of two acute angles is 90° they are said to be complementary. This is commonly seen with the two other angles in a right angled triangle. This property leads to the sine of an angle equalling the cosine of its complement, and the tangent of an angle equalling the cotangent of its complement. e.g. sin 26° = cos 64° : tan 37° = cot 53°
What is the relationship between the tan and cot?
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
What does cosine pair 80 degrees with and how do you get it?
sine 10. Use the cofunction with the complementary angle.
Are The sine and cosine of acute angles equal?
The sine and cosine of acute angles are equal only for 45° sin45° = cos 45° = 1/sqrt(2) = 0.7071
Which angle length does cosine give you?
Sides have lenght, angles do not. Cosine is the ratio of the adjacent side to the hypotenuse. Cosine can be used to find either of these sides if the other is known.
How are sine and cosine and secant related?
Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.
How do you work out the angles in a triangle with only 3 sides and no angles?
use the inverse sine or cosine or tangent
What are some Geometry terms and definitions that start with the letter c?
cube cylinder concentric circle complementary (angles) corner corresponding congruent
Which angle has a negative sine and a positive cosine?
All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
What are the measure of the angles in quadrant 1?
The angles in quadrant one measure between 0 degrees and 90 degrees. In radians, that's between 0 and pi/2. Quadrant one is the quadrant where both X and Y (or cosine theta and sine theta) are positive.
